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Finding the Fourth Proportional to 12,242.40, 16,894.53 and 6,938.91

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Solution

The fourth proportional to 12,242.40, 16,894.53 and 6,938.91 is: 9,575.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.40 : 16,894.53 = 6,938.91 : x
  2. Step 2: Convert to fraction form
    12,242.40/16,894.53 = 6,938.91/x
  3. Step 3: Cross multiply
    12,242.40x = 16,894.53 × 6,938.91
  4. Step 4: Simplify right side
    12,242.40x = 117,229,623.16
  5. Step 5: Solve for x
    x = 117,229,623.16/12,242.40
  6. Step 6: Final answer
    x = 9,575.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.